Published June 2009
| Version v1
Journal article
Nontrivial systems and the necessity of the scalar quantum mechanics axioms
Creators
- 1. Mathematical Institute, Silesian University at Opava, Na Rybnicku 1, 746 01 Opava (Czech Republic)
Description
We discuss the necessity of the axioms of scalar quantum mechanics introduced by Paschke and clearly demonstrate their geometric and/or physical meaning. We show that reasonable nonrelativistic quantum mechanics is exactly specified by the axioms. A system describing the electric Aharonov-Bohm effect is presented. It illustrates the topological obstructions for the existence of a Hamiltonian.
Additional details
Identifiers
- DOI
- 10.1063/1.3133887;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 50
- Journal Issue
- 6
- Journal Page Range
- p. 062101-062101.14
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41040221
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- AHARONOV-BOHM EFFECT; GEOMETRY; HAMILTONIANS; HILBERT SPACE; QUANTUM MECHANICS; SCALARS; TOPOLOGY
- Descriptors DEC
- BANACH SPACE; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; QUANTUM OPERATORS; SPACE
Optional Information
- Notes
- (c) 2009 American Institute of Physics